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3 years ago

2x**2 + 5 = 10 + y

Mathematics

1 answer:

tekilochka [14]3 years ago

7 0

Answer:

So let's look at the function

We need to rearrange.
1/5x^2+1/2=y
Hence it is a function

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2 In eIn2x - In eIn 10x = In 30 x=30 x=75 x= 150 x=300

Alex_Xolod [135]

The value of x = 75 ⇒ 2nd answer

Step-by-step explanation:

Let us revise some rules of logarithmic function

$ln(a) - ln(b)=ln(\frac{a}{b})$
$e^{ln(a)}=a$
$ln(a)^{n}=nln(a)$ vice-versa $nln(a)=ln(a)^{n}$
If ㏑(a) = ㏑(b), then a = b

∵ $2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)$

- Use the 2nd rule to simplify it

∵ $e^{ln(2x)}=2x$

∵ $e^{ln(10x)}=10x$

∴ 2㏑(2x) - ㏑(10x) = ㏑(30)

- Use the 3rd rule in the 1st term

∵ 2㏑(2x) = ㏑(2x)² = ㏑(4x²)

∴ ㏑(4x²) - ㏑(10x) = ㏑(30)

- Use the 1st rule with the left hand side

∵ $ln(4x^{2})-ln(10x)=ln(\frac{4x^{2}}{10x})$

∴ $ln(\frac{4x^{2}}{10x})=ln(30)$

∵ $\frac{4x^{2}}{10x}=\frac{2x}{5}=\frac{2}{5}x$

∴ $ln(\frac{2}{5}x)=ln(30)$

- Use the 4th rule

∴ $\frac{2}{5}$ x = 30

- Multiply both sides by 5

∴ 2 x = 150

- Divide both sides by 2

∴ x = 75

The value of x = 75

Learn more:

You can learn more about logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

8 0

3 years ago

Write a story problem that includes 8 and 12

My name is Ann [436]

Answer:

Claire owed Martha $8 she originally owed Martha 12 but already gave her 4 this was a problem for Claire considering she only got $4 a week

7 0

3 years ago

2.5 x 2.5 x 2.5 - 1.4 x 1.4 x 1.4 (2.5)2+ 2.5 X 1.4 + (1.4)2

melomori [17]

Answer:

a) 2.5×2.5×2.5-1.4×1.4×1.4=12.881

b) (2.5)2+2.5×1.4+(1.4)2=31.5

Step-by-step explanation:

yuh multiple 2.5 three times and subtract 1.4 multiple three times. 2.5×2.5×2.5-1.4×1.4×1.4

15.625-2.744=12.881.

b) when opening bracket Yuh multiple the number in the bracket by the number outside the bracket. when bracket is open Yuh can now add, multiple to obtain your answer please

(2.5)2+2.5×1.4+(1.4)2

5+2.5×1.4+2.8

7.5×4.2=31.5

8 0

3 years ago

Larry made 4 batches of punch. Each batch uses 24 fluid ounces of lemon juice and 6 pints of orange juice. If each serving is 1

Lapatulllka [165]

Answer:

to make one serving u would need

4 ounces of lemon juice

1 pint of orange juice

Step-by-step explanation:

4 0

3 years ago

Beginning in 2000, an orchestra increased its ticket price by a constant amount each year until 2010.

Scilla [17]

Answer:

$35.50

Step-by-step explanation:

55.50-48= 7.5

2008-2005 = 3

7.5 divided by 3 = 2.5 per year

2005-2000 = 5 multipled by 2.5 = 12.5

48-12.5=35.5

6 0

3 years ago